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Finding the Fourth Proportional to 248.49, 342.90 and 136.44

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Solution

The fourth proportional to 248.49, 342.90 and 136.44 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.49 : 342.90 = 136.44 : x
  2. Step 2: Convert to fraction form
    248.49/342.90 = 136.44/x
  3. Step 3: Cross multiply
    248.49x = 342.90 × 136.44
  4. Step 4: Simplify right side
    248.49x = 46,785.28
  5. Step 5: Solve for x
    x = 46,785.28/248.49
  6. Step 6: Final answer
    x = 188.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.